OPERATOR-SPLITTING METHODS FOR THE SIMULATION OF BINGHAM VISCO-PLASTIC FLOW

Citation:

E. J. DEAN,R. GLOWINSKI.OPERATOR-SPLITTING METHODS FOR THE SIMULATION OF BINGHAM VISCO-PLASTIC FLOW[J].Chinese Annals of Mathematics B,2002,23(2):187~204
Page view: 1276        Net amount: 791

Authors:

E. J. DEAN; R. GLOWINSKI
Abstract: This article discusses computational methods for the numerical simulation of unsteady Bingham visco-plastic flow. These methods are based on time-discretization by operator-splitting and take advantage of a characterization of the solutions involving some kind of Lagrange multipliers. The full discretization is achieved by combining the above operator-splitting methods with finite element approximations, the advection being treated by a wave-like equation “equivalent” formulation easier to implement than the method of characteristics or high order upwinding methods. The authors illustrate the methodology discussed in this article with the results of numerical experiments concerning the simulation of wall driven cavity Bingham flow in two dimensions.

Keywords:

Bingham visco-plastic flow, Operator-splitting methods, Finite element approximations, Variational inequality

Classification:

35Q30, 76d05, 35R45
Download PDF Full-Text

主管单位:国家教育部 主办单位:复旦大学 地址:220 Handan Road, Fudan University, Shanghai, China E-mail:edcam@fudan.edu.cn

本系统由北京勤云科技发展有限公司提供技术支持